How to Analyze Joint Probability Density of Y1 and Y2?

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The discussion centers on analyzing the joint probability density of two variables, Y1 and Y2, with a provided probability table. Participants are tasked with calculating specific probabilities, including P(Y1=0), P(Y2=1 | Y1=1), and P(Y2=1), as well as checking the independence of Y1 and Y2 and evaluating their correlation coefficient. There is a suggestion that the inquiry resembles a homework request rather than a genuine discussion about the underlying mathematics. The response emphasizes the importance of using the appropriate formulas for these calculations. Understanding joint probability density is crucial for determining relationships between variables in statistics.
Lucy77
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If the values of the joint probability density of Y1 and Y2 are as shown:

0 1 2 total

0 1/12 1/6 1/24 35/120
1 1/4 1/4 1/40 63/120
2 1/8 1/20 ... 21/120
3 1/120 ... ... 1/20
ttl 56/120 56/120 8/120 1

whew ;-)

ok Find

a) P (Y1=0)
b) P(Y2=1 | Y1=1)
c P(Y2=1)
e Check if Y1 and Y2 are independent or dependent
f Evaluate the correlation coefficient r of y1 and y2

Thanks so much
 
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erm, evidently you just want us to do your homework not explain any maths. there's a homework section for that. my advice? use the formula
 
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